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Torque Transmitted by Kennedy Key given Compressive Stress in Key Formula

GoTorque Transmitted by Kennedy Key given Shear Stress in Key Formula

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Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it. Check FAQs

Mt k = σ c \cdot d s \cdot b k \cdot \frac{l}{\sqrt{2}}

Mt_k - Transmitted Torque by Kennedy Key?σ_c - Compressive Stress in Key?d_s - Diameter of Shaft using Key?b_k - Width of Key?l - Length of Key?

Torque Transmitted by Kennedy Key given Compressive Stress in Key Example

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Here is how the Torque Transmitted by Kennedy Key given Compressive Stress in Key equation looks like with Values.

Here is how the Torque Transmitted by Kennedy Key given Compressive Stress in Key equation looks like with Units.

Here is how the Torque Transmitted by Kennedy Key given Compressive Stress in Key equation looks like.

712763.6354 = 128 \cdot 45 \cdot 5 \cdot \frac{35}{\sqrt{2}}

712763.6354N*mm = 128N/mm² \cdot 45mm \cdot 5mm \cdot \frac{35mm}{\sqrt{2}}

712763.6354 = 128 \cdot 45 \cdot 5 \cdot \frac{35}{\sqrt{2}}

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Torque Transmitted by Kennedy Key given Compressive Stress in Key Solution

Follow our step by step solution on how to calculate Torque Transmitted by Kennedy Key given Compressive Stress in Key?

FIRST Step Consider the formula

Mt k = σ c \cdot d s \cdot b k \cdot \frac{l}{\sqrt{2}}

Next Step Substitute values of Variables

∴

Mt k = 128N/mm² \cdot 45mm \cdot 5mm \cdot \frac{35mm}{\sqrt{2}}

Next Step Convert Units

∴

Mt k = 1.3E+8Pa \cdot 0.045m \cdot 0.005m \cdot \frac{0.035m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

Mt k = 1.3E+8 \cdot 0.045 \cdot 0.005 \cdot \frac{0.035}{\sqrt{2}}

Next Step Evaluate

∴

Mt k = 712.76363543604N*m

Next Step Convert to Output's Unit

∴

Mt k = 712763.63543604N*mm

LAST Step Rounding Answer

∴

Mt k = 712763.6354N*mm

Torque Transmitted by Kennedy Key given Compressive Stress in Key Formula Elements

Variables

Functions

Transmitted Torque by Kennedy Key

Transmitted Torque by Kennedy Key is defined as the amount of torque or the rotating power transferred from a shaft using a key into it.

Symbol: Mt_k

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Transmitted Torque by Kennedy Key

Compressive Stress in Key

Compressive Stress in Key is the force per unit area of a key cross-section that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Key

Diameter of Shaft using Key

Diameter of Shaft using Key is defined as the external surface diameter of a shaft (a rotating machine element) using a key into it.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft using Key

Width of Key

Width of Key is defined as the width of the key that is fixed in between the shaft and the hub to prevent relative movement between a power transmitting shaft and an attached component.

Symbol: b_k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Key

Length of Key

The Length of Key is defined as the length of the key which is used to prevent rotation of a machine component or it is the major dimension of the key.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Key

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Transmitted Torque by Kennedy Key

Go Torque Transmitted by Kennedy Key given Shear Stress in Key

Mt k = 𝜏 \cdot \sqrt{2} \cdot d s \cdot b k \cdot l

Other formulas in Design of Kennedy Key category

Go Shear Stress in Kennedy Key

𝜏 = \frac{Mt k}{\sqrt{2} \cdot d s \cdot b k \cdot l}

Go Diameter of Shaft given Shear Stress in Kennedy Key

d s = \frac{Mt k}{\sqrt{2} \cdot 𝜏 \cdot b k \cdot l}

Go Length of Kennedy Key given Shear Stress in Key

l = \frac{Mt k}{\sqrt{2} \cdot d s \cdot b k \cdot 𝜏}

Go Compressive Stress in Kennedy Key

σ c = \sqrt{2} \cdot \frac{Mt k}{d s \cdot b k \cdot l}

How to Evaluate Torque Transmitted by Kennedy Key given Compressive Stress in Key?

Torque Transmitted by Kennedy Key given Compressive Stress in Key evaluator uses Transmitted Torque by Kennedy Key = Compressive Stress in Key*Diameter of Shaft using Key*Width of Key*Length of Key/sqrt(2) to evaluate the Transmitted Torque by Kennedy Key, Torque Transmitted by Kennedy Key given Compressive Stress in Key formula is defined as a measure of the rotational force that a Kennedy key can transmit based on the compressive stress applied to it. This is crucial for ensuring the integrity and performance of mechanical systems. Transmitted Torque by Kennedy Key is denoted by Mt_k symbol.

How to evaluate Torque Transmitted by Kennedy Key given Compressive Stress in Key using this online evaluator? To use this online evaluator for Torque Transmitted by Kennedy Key given Compressive Stress in Key, enter Compressive Stress in Key (σ_c), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Length of Key (l) and hit the calculate button.

FAQs on Torque Transmitted by Kennedy Key given Compressive Stress in Key

What is the formula to find Torque Transmitted by Kennedy Key given Compressive Stress in Key?

The formula of Torque Transmitted by Kennedy Key given Compressive Stress in Key is expressed as Transmitted Torque by Kennedy Key = Compressive Stress in Key*Diameter of Shaft using Key*Width of Key*Length of Key/sqrt(2). Here is an example- 6.4E+8 = 128000000*0.04498998*0.005*0.035/sqrt(2).

How to calculate Torque Transmitted by Kennedy Key given Compressive Stress in Key?

With Compressive Stress in Key (σ_c), Diameter of Shaft using Key (d_s), Width of Key (b_k) & Length of Key (l) we can find Torque Transmitted by Kennedy Key given Compressive Stress in Key using the formula - Transmitted Torque by Kennedy Key = Compressive Stress in Key*Diameter of Shaft using Key*Width of Key*Length of Key/sqrt(2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Transmitted Torque by Kennedy Key?

Here are the different ways to Calculate Transmitted Torque by Kennedy Key-

Transmitted Torque by Kennedy Key=Shear Stress in Key*sqrt(2)*Diameter of Shaft using Key*Width of Key*Length of Key

Can the Torque Transmitted by Kennedy Key given Compressive Stress in Key be negative?

No, the Torque Transmitted by Kennedy Key given Compressive Stress in Key, measured in Torque cannot be negative.

Which unit is used to measure Torque Transmitted by Kennedy Key given Compressive Stress in Key?

Torque Transmitted by Kennedy Key given Compressive Stress in Key is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torque Transmitted by Kennedy Key given Compressive Stress in Key can be measured.

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Torque Transmitted by Kennedy Key given Compressive Stress in Key Formula

​GoTorque Transmitted by Kennedy Key given Shear Stress in Key Formula

Torque Transmitted by Kennedy Key given Compressive Stress in Key Example

Torque Transmitted by Kennedy Key given Compressive Stress in Key Solution

Torque Transmitted by Kennedy Key given Compressive Stress in Key Formula Elements

Other Formulas to find Transmitted Torque by Kennedy Key

Other formulas in Design of Kennedy Key category

How to Evaluate Torque Transmitted by Kennedy Key given Compressive Stress in Key?

FAQs on Torque Transmitted by Kennedy Key given Compressive Stress in Key

Variable Name

GoTorque Transmitted by Kennedy Key given Shear Stress in Key Formula